Oscillatory Dynamics; Reaction-Diffusion; Boundary Value Problems; Homotopy Perturbation Method - Articles

A Modified Homotopy Analysis Method for Solving Boundary Layer Equations (Articles)

Yinlong Zhao, Zhiliang Lin, Shijun Liao

Applied Mathematics Vol.4 No.1, January 25, 2013

DOI: 10.4236/am.2013.41003 6,438 Downloads 11,169 Views Citations
Homotopy Analysis Method Solution to Time-Fractional Diffusion with a Moving Boundary (Articles)

Ogugua N. Onyejekwe

Journal of Applied Mathematics and Physics Vol.13 No.6, June 25, 2025

DOI: 10.4236/jamp.2025.136116 82 Downloads 435 Views Citations
Iterative approximate solutions of kinetic equations for reversible enzyme reactions (Articles)

Sarbaz H. A. Khoshnaw

Natural Science Vol.5 No.6, June 17, 2013

DOI: 10.4236/ns.2013.56091 4,121 Downloads 6,744 Views Citations
Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator (Articles)

Taher A. Nofal, Gamal M. Ismail, Sayed Abdel-Khalek

Journal of Modern Physics Vol.4 No.11, November 22, 2013

DOI: 10.4236/jmp.2013.411179 4,201 Downloads 6,566 Views Citations
Numerical Solutions for Quadratic Integro-Differential Equations of Fractional Orders (Articles)

Fatheah Alhendi, Wafa Shammakh, Hind Al-Badrani

Open Journal of Applied Sciences Vol.7 No.4, April 30, 2017

DOI: 10.4236/ojapps.2017.74014 1,987 Downloads 4,425 Views Citations
Numerical Solution of Fractional Differential Equations (Articles)

Adnan Daraghmeh, Naji Qatanani, Aya Saadeh

Applied Mathematics Vol.11 No.11, November 13, 2020

DOI: 10.4236/am.2020.1111074 2,343 Downloads 10,440 Views Citations
An index for evaluating distance of a healthy heart from Sino-Atrial blocking arrhythmia (Articles)

Hossein Gholizade-Narm, Morteza Khademi, Asad Azemi, Masoud Karimi-Ghartemani

Journal of Biomedical Science and Engineering Vol.3 No.3, April 9, 2010

DOI: 10.4236/jbise.2010.33042 4,849 Downloads 8,866 Views Citations
Simple Singular Perturbation Problems with Turning Points (Articles)

Na Wang

Journal of Applied Mathematics and Physics Vol.7 No.12, December 9, 2019

DOI: 10.4236/jamp.2019.712208 867 Downloads 2,681 Views Citations
Numerical solutions of second order initial value problems of Bratu-type via optimal homotopy asymptotic method (Articles)

Mohamed Abdalla Darwish, Bothayna S. Kashkari

American Journal of Computational Mathematics Vol.4 No.2, March 20, 2014

DOI: 10.4236/ajcm.2014.42005 4,556 Downloads 7,343 Views Citations
Fourier-Bessel Expansions with Arbitrary Radial Boundaries (Articles)

Muhammad A. Mushref

Applied Mathematics Vol.1 No.1, June 2, 2010

DOI: 10.4236/am.2010.11003 10,883 Downloads 18,386 Views Citations
General Boundary Value Problems for Nonlinear Uniformly Elliptic Equations in Multiply Connected Infinite Domains (Articles)

Guochun Wen, Yanhui Zhang, Dechang Chen

International Journal of Modern Nonlinear Theory and Application Vol.2 No.3, August 30, 2013

DOI: 10.4236/ijmnta.2013.23024 3,143 Downloads 5,419 Views Citations
Numerical Solution of Blasius Equation through Neural Networks Algorithm (Articles)

Iftikhar Ahmad, Muhammad Bilal

American Journal of Computational Mathematics Vol.4 No.3, June 24, 2014

DOI: 10.4236/ajcm.2014.43019 6,822 Downloads 10,437 Views Citations
Existence of Positive Solutions to Semipositone Fractional Differential Equations (Articles)

Xinsheng Du

Applied Mathematics Vol.7 No.14, August 17, 2016

DOI: 10.4236/am.2016.714127 2,138 Downloads 3,778 Views Citations
Inverse Problems for Difference Equations with Quadratic Eigenparameter Dependent Boundary Conditions-II (Articles)

Sonja Currie, Anne Love

Advances in Pure Mathematics Vol.6 No.10, September 12, 2016

DOI: 10.4236/apm.2016.610051 1,702 Downloads 2,810 Views Citations
This article belongs to the Special Issue on The Initial Conditions and Boundary Conditions and Its Application
Application of Differential Transformation Method to Boundary Value Problems of Order Seven and Eight (Articles)

R. B. Ogunrinde, O. M. Ojo

American Journal of Computational Mathematics Vol.8 No.3, September 29, 2018

DOI: 10.4236/ajcm.2018.83022 1,450 Downloads 4,491 Views Citations
Shock Fronts in Non-Polar Electro-Conducting Media (Articles)

Michael Grinfeld, Pavel Grinfeld

Journal of Applied Mathematics and Physics Vol.10 No.4, April 7, 2022

DOI: 10.4236/jamp.2022.104072 230 Downloads 901 Views Citations
Numerical Solution of Singularly Perturbed Two-Point Boundary Value Problem via Liouville-Green Transform (Articles)

Hradyesh Kumar Mishra, Sonali Saini

American Journal of Computational Mathematics Vol.3 No.1, March 26, 2013

DOI: 10.4236/ajcm.2013.31001 6,473 Downloads 12,442 Views Citations
Analytical solution of coupled non-linear second order differential equations in enzyme kinetics (Articles)

Govindhan Varadharajan, Lakshmanan Rajendran

Natural Science Vol.3 No.6, June 22, 2011

DOI: 10.4236/ns.2011.36063 8,926 Downloads 19,962 Views Citations
Analytical Solutions of System of Non-Linear Differential Equations in the Single-Enzyme, Single-Substrate Reaction with Non-Mechanism-Based Enzyme Inactivation (Articles)

Govindhan Varadharajan, Lakshmanan Rajendran

Applied Mathematics Vol.2 No.9, September 19, 2011

DOI: 10.4236/am.2011.29158 4,888 Downloads 9,420 Views Citations
Stochastic Oscillators with Quadratic Nonlinearity Using WHEP and HPM Methods (Articles)

Amnah S. Al-Johani

American Journal of Computational Mathematics Vol.3 No.3, August 14, 2013

DOI: 10.4236/ajcm.2013.33027 3,490 Downloads 6,064 Views Citations

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